Well-Posedness of a Fourth Order of Accuracy Difference Scheme for Bitsadze-Samarskii-Type Problem


Ashyralyev A., Beigmohammadi E. O.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.38, ss.1244-1259, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 38 Konu: 10
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1080/01630563.2017.1316994
  • Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
  • Sayfa Sayıları: ss.1244-1259

Özet

In the present study, a fourth order of accuracy difference scheme for the approximate solution of the Bitsadze-Samarskii type nonlocal boundary value problem with the integral condition is investigated. Theorem on well-posedness of the difference scheme in the difference analogue of Holder spaces with a weight is established. In applications, coercive stability estimates for the solutions of difference schemes of nonlocal boundary value problems for elliptic problems are obtained.